Finding the Third Proportional to 11,626 and 25,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,626 : 25,425.50 = 25,425.50 : x
2. Step 2: Convert to fraction form
   11,626/25,425.50 = 25,425.50/x
3. Step 3: Cross multiply
   11,626x = 25,425.50 × 25,425.50
4. Step 4: Simplify right side
   11,626x = 646,456,050.25
5. Step 5: Solve for x
   x = 646,456,050.25/11,626
6. Step 6: Final answer
   x = 55,604.34